A survey of Jensen type inequalities for functions of selfadjoint operators in Hilbert spaces

The main aim of the present paper is to survey different inequalities for convex functions of selfadjoint operators in Hilbert spaces which have appeared recently in the literature. Applications for some particular convex functions of interest are also given.

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 59; no. 12; pp. 3785 - 3812
Main Authors Agarwal, R.P., Dragomir, S.S.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2010
Subjects
Convex functions
Functions of selfadjoint operators
Hilbert space
Inequalities
Jensen’s inequality
Mathematical analysis
Mathematical models
Operators
Positive operators
Selfadjoint operators
Functions of selfadjoint operators
Selfadjoint operators
Jensen’s inequality
Convex functions
Positive operators
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Summary:The main aim of the present paper is to survey different inequalities for convex functions of selfadjoint operators in Hilbert spaces which have appeared recently in the literature. Applications for some particular convex functions of interest are also given.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2010.04.014